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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 333270.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333270.l1 | 333270l1 | \([1, -1, 0, -1755, -89019]\) | \(-1550640289/8067360\) | \(-3111104777760\) | \([]\) | \(614400\) | \(1.0814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333270.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333270.l do not have complex multiplication.Modular form 333270.2.a.l
sage: E.q_eigenform(10)